The North Carolina legislature passed a budget. This budget passed both house of properly elected lawmakers. Then, this budget was vetoed by the Good Govna’ of the Great State of North by God Carolina, herself properly elected.
Bev Purdue certainly can veto bills she doesn’t like.
After learning of said veto, the legislature convened and took up vote to over-ride the veto. And over-ride that veto the legislature did. And so, the budget became law without the consent of the governor.
That, however, is not the end of the story.